2056584760776 has 384 divisors, whose sum is σ = 7102723031040. Its totient is φ = 522948441600.

The previous prime is 2056584760757. The next prime is 2056584760777. The reversal of 2056584760776 is 6770674856502.

2056584760776 is a `hidden beast` number, since 2 + 0 + 565 + 8 + 4 + 7 + 60 + 7 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2056584760777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55024671 + ... + 55062033.

It is an arithmetic number, because the mean of its divisors is an integer number (18496674560).

Almost surely, 2^{2056584760776} is an apocalyptic number.

2056584760776 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056584760776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551361515520).

2056584760776 is an abundant number, since it is smaller than the sum of its proper divisors (5046138270264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2056584760776 is a wasteful number, since it uses less digits than its factorization.

2056584760776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37697 (or 37690 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 2056584760776 in words is "two trillion, fifty-six billion, five hundred eighty-four million, seven hundred sixty thousand, seven hundred seventy-six".